On the global well-posedness of the Benjamin-Ono equation. (English) Zbl 0732.35038
The author presents a detail mathematical analysis of Cauchy problem for the Benjamin-Ono equation. It is also established that for specific values of parameters local and global smoothing effects are observed. Theorems are presented for illustration of the proposed method. The paper is of interest to researchers working in the mathematical area.
Reviewer: P.K.Mahanti (Ranchi)
MSC:
35K55 | Nonlinear parabolic equations |
35Q40 | PDEs in connection with quantum mechanics |
35D99 | Generalized solutions to partial differential equations |
35B65 | Smoothness and regularity of solutions to PDEs |